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42611205 = 35713193153
BaseRepresentation
bin1010001010001…
…1001000000101
32222011212120210
42202203020011
541402024310
64121150033
71025121630
oct242431005
988155523
1042611205
112206447a
121232b319
138a9c240
145932c17
153b1a820
hex28a3205

42611205 has 128 divisors (see below), whose sum is σ = 92897280. Its totient is φ = 16174080.

The previous prime is 42611189. The next prime is 42611207. The reversal of 42611205 is 50211624.

It is not a de Polignac number, because 42611205 - 24 = 42611189 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42611207) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 803959 + ... + 804011.

It is an arithmetic number, because the mean of its divisors is an integer number (725760).

Almost surely, 242611205 is an apocalyptic number.

It is an amenable number.

42611205 is an abundant number, since it is smaller than the sum of its proper divisors (50286075).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42611205 is a wasteful number, since it uses less digits than its factorization.

42611205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 42611205 is about 6527.7258674059. The cubic root of 42611205 is about 349.2807132791.

42611205 divided by its sum of digits (21) gives a triangular number (2029105 = T2014).

Adding to 42611205 its reverse (50211624), we get a palindrome (92822829).

The spelling of 42611205 in words is "forty-two million, six hundred eleven thousand, two hundred five".

Divisors: 1 3 5 7 13 15 19 21 31 35 39 53 57 65 91 93 95 105 133 155 159 195 217 247 265 273 285 371 399 403 455 465 589 651 665 689 741 795 1007 1085 1113 1209 1235 1365 1643 1729 1767 1855 1995 2015 2067 2821 2945 3021 3255 3445 3705 4123 4823 4929 5035 5187 5565 6045 7049 7657 8215 8463 8645 8835 10335 11501 12369 13091 14105 14469 15105 20615 21147 21359 22971 24115 24645 25935 31217 34503 35245 38285 39273 42315 53599 57505 61845 64077 65455 72345 91637 93651 105735 106795 114855 149513 156085 160797 172515 196365 218519 267995 274911 320385 405821 448539 458185 468255 655557 747565 803985 1092595 1217463 1374555 2029105 2242695 2840747 3277785 6087315 8522241 14203735 42611205